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Funktsional'nyi Analiz i ego Prilozheniya, 2002, Volume 36, Issue 3, Pages 93–95
DOI: https://doi.org/10.4213/faa214 (Mi faa214) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Brief communications

Spectral Shift Function of the Schrödinger Operator in the Large Coupling Constant Limit

A. B. Pushnitskiia, M. V. Ruzhanskyb

a Loughborough University
b Imperial College, Department of Mathematics
Full-text PDF (118 kB) Citations (3)
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DOI: https://doi.org/10.4213/faa214
Abstract: The spectral shift function of a Schrödinger operator with a perturbation of definite sign is considered. The asymptotics of the spectral shift function for large coupling constant is studied, and results concerning positive and negative perturbations are compared. A more general case of unperturbed operator given by a function of the Laplacian is discussed. This case explains the dependence of the asymptotics of the spectral shift function on the perturbation potential on the one hand and on the order of the unperturbed operator on the other hand.
Keywords: spectral shift function, Schrodinger operator, scattering theory.
Received: 21.05.2001
English version:
Functional Analysis and Its Applications, 2002, Volume 36, Issue 3, Pages 250–252
DOI: https://doi.org/10.1023/A:1020170626399
Bibliographic databases:
Document Type: Article
UDC: 517.43
Language: Russian
Citation: A. B. Pushnitskii, M. V. Ruzhansky, “Spectral Shift Function of the Schrödinger Operator in the Large Coupling Constant Limit”, Funktsional. Anal. i Prilozhen., 36:3 (2002), 93–95; Funct. Anal. Appl., 36:3 (2002), 250–252
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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